51379600 has 30 divisors (see below), whose sum is σ = 123440450. Its totient is φ = 20551680.

The previous prime is 51379579. The next prime is 51379613. The reversal of 51379600 is 697315.

It can be written as a sum of positive squares in 3 ways, for example, as 3326976 + 48052624 = 1824^2 + 6932^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63825 + ... + 64624.

Almost surely, 2^51379600 is an apocalyptic number.

51379600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51379600 is an abundant number, since it is smaller than the sum of its proper divisors (72060850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51379600 is a wasteful number, since it uses less digits than its factorization.

51379600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128467 (or 128456 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 51379600 is about 7167.9564730821. The cubic root of 51379600 is about 371.7607819552.

The spelling of 51379600 in words is "fifty-one million, three hundred seventy-nine thousand, six hundred".